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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 485100i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485100.i1 | 485100i1 | \([0, 0, 0, -7140, -250355]\) | \(-2817310720/264627\) | \(-3781096426800\) | \([]\) | \(725760\) | \(1.1555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100i do not have complex multiplication.Modular form 485100.2.a.i
sage: E.q_eigenform(10)